1. Necessary condition and sufficient conditions for nonuniform wavelet frames in.
- Author
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Younus Bhat, M.
- Subjects
- *
WAVELETS (Mathematics) , *INTEGERS , *SPECTRAL theory , *DISCRETE systems , *ALGORITHMS , *FOURIER transforms - Abstract
A constructive algorithm based on the theory of spectral pairs for constructing nonuniform wavelet basis in was considered by Gabardo and Nashed [Nonuniform multiresolution analysis and spectral pairs, J. Funct. Anal. 158 (1998) 209-241]. In this setting, the associated translation set is a spectrum which is not necessarily a group nor a uniform discrete set, given where (an integer) and is an odd integer with such that and are relatively prime and is the set of all integers. The objective of this paper is to construct nonuniform wavelet frame on local fields. A necessary condition and four sufficient conditions for nonuniform wavelet frame on local fields are given. [ABSTRACT FROM AUTHOR]
- Published
- 2018
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